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Finding the Fourth Proportional to 471,047.02, 706,302.92 and 321,468.50

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Solution

The fourth proportional to 471,047.02, 706,302.92 and 321,468.50 is: 482,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,047.02 : 706,302.92 = 321,468.50 : x
  2. Step 2: Convert to fraction form
    471,047.02/706,302.92 = 321,468.50/x
  3. Step 3: Cross multiply
    471,047.02x = 706,302.92 × 321,468.50
  4. Step 4: Simplify right side
    471,047.02x = 227,054,142,807.45
  5. Step 5: Solve for x
    x = 227,054,142,807.45/471,047.02
  6. Step 6: Final answer
    x = 482,020.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.